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Licemer1 [7]
3 years ago
12

A $20 bill two $10 bills three $5 bills and four $1 bills are placed in a bag. If a bill is chosen at random what is the expecte

d value for the amount chosen?
Mathematics
1 answer:
muminat3 years ago
8 0

Answer: Hello mate!

You have one $20 bill, two $10 bills, three $5 bills and four $1 bills in a bag.

This adds to a total of 10 bills in the bag, and you want to know the expected value if you took one at random.

The expected value is defined as ∑pₙxₙ

where pₙ is the probability for each event (in this case is the number of bills of a given price divided the number of bills in the bag) and xₙ is the value of the bill.

Then we can write the expected value as:

E = (1/10)*$20 + (2/10)*$10 + (3/10)*$5 + (4/10)*$1 = (1/10)( 20$ + 2*$10 + 3*$5 + 4*$1) = (1/10)*($59) = $5.90

The expected value is $5.90.

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( x + 2 )^2 - ( y + 2 )^2
GarryVolchara [31]

The difference of two squares factoring pattern states that a difference of two squares can be factored as follows:

a^2-b^2 = (a+b)(a-b)

So, whenever you recognize the two terms of a subtraction to be two squares, you can factor it as the sum of the roots multiplied by the difference of the roots.

In this case, the squares are obvious: (x+2)^2 is the square of x+2, and (y+2)^2 is the square of y+2

So, we can factor the expression as

(x+2)^2 - (y+2)^2 = [(x+2)+(y+2)] - [(x+2)+(y+2)]

(the round parenthesis aren't necessary, I used them only to make clear the two terms)

We can simplify the expression summing like terms:

(x+2)^2 - (y+2)^2 = [(x+2)+(y+2)][(x+2)-(y+2)] = (x+y+4)(x-y)

3 0
3 years ago
Estimate by division ..70/9.24
astraxan [27]
The answer is 7.58

hope this helped :)
alisa202
6 0
2 years ago
Read 2 more answers
Please answer this question now
sukhopar [10]

Answer:

<h2>e =7.1</h2>

Step-by-step explanation:

Hypotenuse = 10\\Opposite =e\\Adjacent =7\\\\Using\:Pythagoras\:Theorem\\Hypotenuse^2=Opposite^2+Adjacent^2\\10^2 =e^2 + 7^2\\100 =e^2+49\\100-49=e^2\\\\51 =e^2\\\sqrt{51} =\sqrt{e^2}\\ e = 7.141\\\\e = 7.1

I hope it helps :)

4 0
3 years ago
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pshichka [43]
Y - y1 = m(x - x1)
slope(m) = -6
(-2,-3)...x1 = -2 and y1 = -3
now sub and pay close attention to ur signs
y - (-3) = -6(x - (-2)....we're not done yet...
y + 3 = -6(x + 2) <===
7 0
3 years ago
Gabriela works at a nearby electronics store. she makes a commission of 14% on everything she sells. if she sells a camera for $
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.14(589)=$82.46 Change 14% to a decimal then multiply by 589.
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